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Finding the Fourth Proportional to 409,432.52, 614,148.78 and 159,939.56

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Solution

The fourth proportional to 409,432.52, 614,148.78 and 159,939.56 is: 239,909.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,432.52 : 614,148.78 = 159,939.56 : x
  2. Step 2: Convert to fraction form
    409,432.52/614,148.78 = 159,939.56/x
  3. Step 3: Cross multiply
    409,432.52x = 614,148.78 × 159,939.56
  4. Step 4: Simplify right side
    409,432.52x = 98,226,687,782.88
  5. Step 5: Solve for x
    x = 98,226,687,782.88/409,432.52
  6. Step 6: Final answer
    x = 239,909.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.